The generator matrix

 1  0  0  0  1  1  1  1  2  4  1
 0  1  0  0  0  1  1  2  1  2  6
 0  0  1  0  1  0  1  4  3  6  5
 0  0  0  1  1  3  2  1  4  1  6
 0  0  0  0  4  4  0  0  4  4  4

generates a code of length 11 over Z8 who´s minimum homogenous weight is 7.

Homogenous weight enumerator: w(x)=1x^0+124x^7+423x^8+980x^9+1472x^10+2136x^11+1559x^12+1000x^13+368x^14+108x^15+16x^16+4x^17+1x^20

The gray image is a code over GF(2) with n=44, k=13 and d=14.
This code was found by Heurico 1.11 in 1.49 seconds.